Q: What are the factor combinations of the number 222,500,401?

 A:
Positive:   1 x 222500401107 x 2079443179 x 124301911617 x 19153
Negative: -1 x -222500401-107 x -2079443-179 x -1243019-11617 x -19153


How do I find the factor combinations of the number 222,500,401?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 222,500,401, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 222,500,401
-1 -222,500,401

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 222,500,401.

Example:
1 x 222,500,401 = 222,500,401
and
-1 x -222,500,401 = 222,500,401
Notice both answers equal 222,500,401

With that explanation out of the way, let's continue. Next, we take the number 222,500,401 and divide it by 2:

222,500,401 ÷ 2 = 111,250,200.5

If the quotient is a whole number, then 2 and 111,250,200.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 222,500,401
-1 -222,500,401

Now, we try dividing 222,500,401 by 3:

222,500,401 ÷ 3 = 74,166,800.3333

If the quotient is a whole number, then 3 and 74,166,800.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 222,500,401
-1 -222,500,401

Let's try dividing by 4:

222,500,401 ÷ 4 = 55,625,100.25

If the quotient is a whole number, then 4 and 55,625,100.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 222,500,401
-1 222,500,401
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

110717911,61719,1531,243,0192,079,443222,500,401
-1-107-179-11,617-19,153-1,243,019-2,079,443-222,500,401

More Examples

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